A review of non local continuum damage: modelling of failure?

DOI10.3934/NHM.2014.9.575zbMath1302.74012OpenAlexW2047973818MaRDI QIDQ484823

Gilles Pijaudier-Cabot, David Grégoire

Publication date: 8 January 2015

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/nhm.2014.9.575

zbMATH Keywords

interactionsdamagefailurestrain-softeningnon-local

Mathematics Subject Classification ID

Theories of fracture and damage (74A45) Brittle damage (74R05)

Cites Work

• Unnamed Item
• Unnamed Item
• The variational approach to damage. II: The gradient damage models
• Some basic principles in the mechanics of solids without a natural time
• A general theory of uniqueness and stability in elastic-plastic solids
• A nonlocal approximation of free discontinuity problems in SBV and SBD
• The variational approach to fracture
• Hyperbolicity and change of type in the flow of viscoelastic fluids
• Material rate dependence and mesh-sensitivity in localization problems
• Localization of damage in a nonlocal continuum
• Strain localization and bifurcation in a nonlocal continuum
• Strain-based transient-gradient damage model for failure analyses
• Incorrect initiation and propagation of failure in non-local and gradient-enhanced media.
• Numerical experiments in revisited brittle fracture
• Dynamic crack propagation under mixed-mode loading - comparison between experiments and X-FEM simulations
• Nonlocal Continuum Damage, Localization Instability and Convergence
• Gradient-dependent plasticity: Formulation and algorithmic aspects
• Non‐local damage model with evolving internal length
• Size effect on fracture energy induced by non‐locality
• Arbitrary Lagrangian–Eulerian finite element analysis of strain localization in transient problems
• A critical comparison of nonlocal and gradient-enhanced softening continua

This page was built for publication: A review of non local continuum damage: modelling of failure?